Geometry Problem 1455: Nagel Point, Excircles, Incircle, Congruent Segments

Given a triangle ABC with the incircle I. Let E_A, E_B, E_C be the excircles and T_A, T_B, T_C be the extouch points. The Lines AT_A, BT_B, CT_C concur in the Nagel point N and cuts the incircle at I_A, I_B, I_C. Prove that AI_A = NT_A,BI_B = NT_B, CI_C = NT_C.

Static Diagram of problem 1455

Dynamic Geometry 1455: Nagel Point, Excircles, Incircle, Congruent Segments, Using GeoGebra

Poster of the problem 1455 using iPad Apps

Poster of Problem 1455, Nagel Point, Excircles, Incircle, Congruent Segments. Using iPad

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